making better decisions with pro s c s ss ssobabilistic ... · making better decisions with pra b....
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MAKING BETTER DECISIONS WITH O S C S SS SSPROBABILISTIC RISK ASSESSMENT
ByB. John Garrick
Presented at the Workshop onRisk Assessment and Safety Decision Making Under Uncertainty
Hosted byyConsortium for Risk Evaluation with Stakeholder Participation
and Vanderbilt University Bethesda, MDBethesda, MD
September 21-22, 2010
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ANATOMY OF A DECISION
PA(c)CA = P
COST, c
BENEFIT, b
PA(b)BA = P
P
UTILITY OF OPTION A:UA = U(<CA, BA, RA>)
•••
DAMAGE, x
RA = ø PA(x)
••OPTION B PRA BAYES’
THEOREM
E1E2•••
COST
CN = P
BN = P
•••POINTOFDECISION
POINTOFDECISION
•EN
BENEFIT
BN P
DAMAGE
RN = ø
UTILITY OF OPTION N:UN = U(<CN, BN, RN>)
OPTIMAL DECISION: MAX (U U ••• U )
PP
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DAMAGEOPTIMAL DECISION: MAX (U A, UB, ••• UN)
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Road Map
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PRA and Decision Analysis
Risk is defined by the “triplet” set of questions. What y p qcan go wrong? How likely is it? What are the consequences?The role of probabilistic risk assessment in the decisionThe role of probabilistic risk assessment in the decision process is to quantify the outcomes of all the options being considered in the decision.PRA is thus the linkage (logic) between the desired probability curves, which are the input to the decision analysis and all the relevant evidence especially theanalysis, and all the relevant evidence, especially the contributors to the risk.
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AN EXAMPLE
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State Operated Disposal Area (SDA)
• A 15 acre pre-Part 61 near-surface radioactive waste disposal facility in southwestern New York that operated from 1963 1975operated from 1963-1975.
• Received waste from offsite locations and waste generated by the onsite nuclear fuel reprocessing operations.
• Inventory in the trenches included 230 radionuclides having an estimated activity of 128 000 curies decayedhaving an estimated activity of 128,000 curies, decayed to the year 2000.
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SDA Aerial View
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SDA Trenches and Watershed
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Decision Options
• Exhume all waste and contamination from the SDA.• Close the SDA in place.• Manage the SDA in place for 10 years to allow
dditi l d t ll ti d l i t dd ladditional data collection and analysis to address long-term issues and identify safe and cost effective management or removal options.g p
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Requirement of the Decision
A quantitative answer to the question, “What is the risk of operating the SDA for the next 30 years with its current physical and administrative controls.”
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The Decision
The QRA results were instrumental in supporting the decision by the New York State Energy Research and Development Authority to manage the SDA in place forDevelopment Authority to manage the SDA in-place for another decade.
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Methodology
• Triplet definition of risk.• Based on a structured set of scenarios.• Quantification of uncertainties with probability
distributions.• C dibilit d fi iti f b bilit• Credibility definition of probability.• Data processing rooted in the fundamental rules of
logic.g
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Structure of QRA Model
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For Each Scenario, Risk Is Determined By
• Frequency of disruptive or natural processes that cause a release of radioactive materials from the disposal area.area.
• Form, quantity, and radionuclide content of the materials released.
• Distribution, dilution, and deposition of the released materials.
• Public exposure and radiation dose• Public exposure and radiation dose.
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Radionuclide Release Mechanisms
• Liquid releases via groundwater in the subsurface.• Liquid overflows and surface water releases• Liquid overflows and surface water releases.• Releases of solid and liquid radioactive materials via
physical breaches of the trenches.• Airborne releases via physical disruption of the SDA
site.
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Dose Receptors
• A permanent resident farmer on Buttermilk Creek near its confluence with Cattaraugus Creek.
• A transient recreational hiker/hunter who traverses areas along Buttermilk Creek and the lower reaches ofareas along Buttermilk Creek and the lower reaches of Franks Creek.
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Highest Risk Scenarios
• Lateral groundwater flows through the ULT: 37%• Physical breaches of the waste trenches: 35%• Lateral groundwater flows through the WLT: 10%• N b d diti 6%• No geomembrane and severe conditions: 6%
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Contribution by Release Mechanism
• Groundwater flow through the subsurface: 55%• Trench breaches by erosion, landslides: 36%• Trench overflows and surface water runoff: 9%• Ai b l f h i l i t 0 1%• Airborne releases from physical impacts: <<0.1%
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SDA Risk Curves
1.0E-03
1.0E-02
1 0E 05
1.0E-04
t/ y
ear)
5th Percentile
95th Percentile
1.0E-06
1.0E-05
requ
ency
(eve
nt
MedianMean
1.0E-08
1.0E-07
Rel
ease
Fr
1 0E-10
1.0E-09
19
1.0E-101.0E-01 1.0E+00 1.0E+01 1.0E+02 1.0E+03 1.0E+04 1.0E+05
Dose (mrem in 1 year)
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Vertical Slice
The analysts are 90% confident that the frequency of a dose of 100 mrem in 1 year or greater is between 3.9 x 10-4 and 6.4 x 10-4 event per year.p y
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Uncertainty in Release Frequency for Exceeding a Dose of 100 Mrem in 1 Year, Probability Density Format, y y
bability Den
sity
Pro
1.0E‐04 3.0E‐04 5.0E‐04 7.0E‐04 9.0E‐04 1.1E‐03 1.3E‐03 1.5E‐03
Release Frequency (event / year)
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Horizontal Slice
The analysts are 90% confident that the frequency range of a 1 x 10-3 event per year or greater results in a dose between 10 and 31 mrem in 1 year.
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Uncertainty in Dose for Release Frequency of 1.0E-03 Event/Year, Probability Density Format25
1.0E 03 Event/Year, Probability Density Format
20
15
ability Den
sity
10Proba
5
0
0 10 20 30 40 50 60 70 80 90 100
Dose (mrem in 1 year) 23
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Conclusion
The QRA results confirm that the public health risk from operating the SDA for the next 30 years is well below widely applied radiation dose limits.
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NUCLEAR PLANT EXAMPLE
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Nuclear Power Plant Risk Results
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Nuclear Power Plant Risk Results (Continued)(Continued)
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Nuclear Power Plant Risk Results (Continued)(Continued)